Planar Equilibrium Measure Problem in the Quadratic Fields with a Point Charge

We consider a two-dimensional equilibrium measure problem under the presence of quadratic potentials with a point charge and derive the explicit shape of the associated droplets. This particularly shows that the topology of the droplets reveals a phase transition: (i) in the post-critical case, the...

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Bibliographic Details

Published in:	Computational methods and function theory Vol. 24; no. 2; pp. 303 - 332
Main Author:	Byun, Sung-Soo
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2024
Subjects:	Analysis Computational Mathematics and Numerical Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics A non-Hermitian extension of the Marchenko–Pastur law Primary 30C20 Elliptic Ginibre ensemble 31A25 Planar equilibrium measure problem Conformal mapping method Secondary 60B20 Two-dimensional Coulomb gases Conditional point process
ISSN:	1617-9447, 2195-3724
Online Access:	Get full text
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